---
OA_place: publisher
OA_type: free access
_id: '18443'
abstract:
- lang: eng
  text: "In [KW06] Kapustin and Witten conjectured that there is a mirror symmetry
    relation between\r\nthe hyperkähler structures on certain Higgs bundle moduli
    spaces. As a consequence, they\r\nconjecture an equivalence between categories
    of BBB and BAA-branes. At the classical\r\nlevel, this mirror symmetry is given
    by T-duality between semi-flat hyperkähler structures on\r\nalgebraic integrable
    systems.\r\nIn this thesis, we investigate the T-duality relation between hyperkähler
    structures and the\r\ncorresponding branes on affine torus bundles. We use the
    techniques of generalized geometry\r\nto show that semi-flat hyperkähler structures
    are T-dual on algebraic integrable systems.\r\nWe also describe T-duality for
    generalized branes. Motivated by Fourier-Mukai transform\r\nwe upgrade the T-duality
    between generalized branes to T-duality of submanifolds endowed\r\nwith U(1)-bundles
    and connections. This T-duality in the appropriate context specializes to\r\nT-duality
    between BBB and BAA-branes.\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Maria A
  full_name: Sisak, Maria A
  id: 44A03D04-AEA4-11E9-B225-EA2DE6697425
  last_name: Sisak
citation:
  ama: Sisak MA. T-dual branes on hyperkähler manifolds. 2024. doi:<a href="https://doi.org/10.15479/at:ista:18443">10.15479/at:ista:18443</a>
  apa: Sisak, M. A. (2024). <i>T-dual branes on hyperkähler manifolds</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/at:ista:18443">https://doi.org/10.15479/at:ista:18443</a>
  chicago: Sisak, Maria A. “T-Dual Branes on Hyperkähler Manifolds.” Institute of
    Science and Technology Austria, 2024. <a href="https://doi.org/10.15479/at:ista:18443">https://doi.org/10.15479/at:ista:18443</a>.
  ieee: M. A. Sisak, “T-dual branes on hyperkähler manifolds,” Institute of Science
    and Technology Austria, 2024.
  ista: Sisak MA. 2024. T-dual branes on hyperkähler manifolds. Institute of Science
    and Technology Austria.
  mla: Sisak, Maria A. <i>T-Dual Branes on Hyperkähler Manifolds</i>. Institute of
    Science and Technology Austria, 2024, doi:<a href="https://doi.org/10.15479/at:ista:18443">10.15479/at:ista:18443</a>.
  short: M.A. Sisak, T-Dual Branes on Hyperkähler Manifolds, Institute of Science
    and Technology Austria, 2024.
corr_author: '1'
date_created: 2024-10-19T12:00:37Z
date_published: 2024-10-24T00:00:00Z
date_updated: 2026-04-07T12:42:44Z
day: '24'
ddc:
- '516'
degree_awarded: PhD
department:
- _id: GradSch
- _id: TaHa
doi: 10.15479/at:ista:18443
file:
- access_level: open_access
  checksum: 8c4893e726aaa4b3efb82758da9b6851
  content_type: application/pdf
  creator: msisak
  date_created: 2024-10-23T14:42:45Z
  date_updated: 2024-10-23T14:42:45Z
  file_id: '18467'
  file_name: MASisak_dissertation.pdf
  file_size: 1672547
  relation: main_file
  success: 1
- access_level: closed
  checksum: 1831b072e861a1e5481024ca9d02b036
  content_type: application/x-zip-compressed
  creator: msisak
  date_created: 2024-10-23T14:43:56Z
  date_updated: 2024-10-24T08:09:13Z
  file_id: '18468'
  file_name: MASisak_source.zip
  file_size: 617913
  relation: source_file
file_date_updated: 2024-10-24T08:09:13Z
has_accepted_license: '1'
keyword:
- hyperkaehler geometry
- branes
- mirror symmetry
- T-duality
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '178'
project:
- _id: 6286e8c4-2b32-11ec-9570-f5297902f67f
  grant_number: '26069'
  name: Branes on hyperkähler manifolds
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Tamás
  full_name: Hausel, Tamás
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
  orcid: 0000-0002-9582-2634
title: T-dual branes on hyperkähler manifolds
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2024'
...